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Finding the Third Proportional to 314,786.25 and 474,815.25

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Solution

The third proportional to 314,786.25 and 474,815.25 is: 716,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,786.25 : 474,815.25 = 474,815.25 : x
  2. Step 2: Convert to fraction form
    314,786.25/474,815.25 = 474,815.25/x
  3. Step 3: Cross multiply
    314,786.25x = 474,815.25 × 474,815.25
  4. Step 4: Simplify right side
    314,786.25x = 225,449,521,632.56
  5. Step 5: Solve for x
    x = 225,449,521,632.56/314,786.25
  6. Step 6: Final answer
    x = 716,198.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.